Greatest Common Factor of 16200 and 16203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 16200, 16203 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16200 and 16203 is 3.

GCF(16200,16203) = 3

GCF of 16200 and 16203

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 16200 and 16203

GCF of 16200 and 16203 is 3

Prime Factorization of 16200


2 16200
2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 16200 are 2,3,5. Prime factorization of 16200 in exponential form is:

16200 = 23×34×52

Prime Factorization of 16203


3 16203
11 5401
491 491
1

Prime factors of 16203 are 3,11,491. Prime factorization of 16203 in exponential form is:

16203 = 31×111×4911

∴ So by taking common prime factors GCF of 16200 and 16203 is 3

Greatest Common Factor of 16200 and 16203 by matching factors method

Factors of 16200

List of positive integer factors of 16200 that divides 16200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,81,90,100,108,120,135,150,162,180,200,216,225,270,300,324,360,405,450,540,600,648,675,810,900,1080,1350,1620,1800,2025,2700,3240,4050,5400,8100,16200

Factors of 16203

List of positive integer factors of 16203 that divides 16203 without a remainder.

1,3,11,33,491,1473,5401,16203

Greatest Common Factor

We found the factors and prime factorization of 16200 and 16203. The biggest common factor number is the GCF number.
So the greatest common factor 16200 and 16203 is 3.

Also check out the Least Common Multiple of 16200 and 16203

Properties of GCF 16200 and 16203

(i) The GCF of 16200 and 16203 is associative

GCF of 16200 and 16203 = GCF of 16203 and 16200

Related Greatest Common Factor of 16200

Related Greatest Common Factor of 16203

Frequently Asked Questions on GCF of 16200 and 16203

1. What is the GCF of 16200 and 16203?

Answer: GCF of 16200 and 16203 is 3.

2. What are the Factors of 16200?

Answer: Factors of 16200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100, 16200. There are 60 integers that are factors of 16200. The greatest factor of 16200 is 16200.

3. What are the Factors of 16203?

Answer: Factors of 16203 are 1, 3, 11, 33, 491, 1473, 5401, 16203. There are 8 integers that are factors of 16203. The greatest factor of 16203 is 16203.

4. How to Find the GCF of 16200 and 16203?

Answer:

Greatest Common Factor of 16200 and 16203 = 3

Step 1: Find the prime factorization of 16200

16200 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 16203

16203 = 3 x 11 x 491

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 16200 and 16203 is 3